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Finding the Fourth Proportional to 27,551.40, 41,311.74 and 10,021.80

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Solution

The fourth proportional to 27,551.40, 41,311.74 and 10,021.80 is: 15,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.40 : 41,311.74 = 10,021.80 : x
  2. Step 2: Convert to fraction form
    27,551.40/41,311.74 = 10,021.80/x
  3. Step 3: Cross multiply
    27,551.40x = 41,311.74 × 10,021.80
  4. Step 4: Simplify right side
    27,551.40x = 414,017,995.93
  5. Step 5: Solve for x
    x = 414,017,995.93/27,551.40
  6. Step 6: Final answer
    x = 15,027.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.